The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 1-5 av 14
Side 48
... equal to the angle F BA , each of them being a right angle , add to each the angle ABC , and the whole angle DBA is equal ( Ax . 2. ) to the whole FBC ; and because the two sides AB , BD are equal to the two FB , BC , each to each , and ...
... equal to the angle F BA , each of them being a right angle , add to each the angle ABC , and the whole angle DBA is equal ( Ax . 2. ) to the whole FBC ; and because the two sides AB , BD are equal to the two FB , BC , each to each , and ...
Side 71
... equal to FB , and FE common to the two triangles AFE , BFE , there are two sides in the one equal to two sides in the other , and the base EA is equal to the base EB ; therefore the angle AFE is equal ( 1. 8. ) to the angle BFE But when ...
... equal to FB , and FE common to the two triangles AFE , BFE , there are two sides in the one equal to two sides in the other , and the base EA is equal to the base EB ; therefore the angle AFE is equal ( 1. 8. ) to the angle BFE But when ...
Side 72
... equal angles in each , is common to both ; therefore the other sides are equal ( 1. 26. ) ; AF therefore is equal to FB . Wherefore if a straight line , & c . Q. E. D. PROP . IV . THEOR . If in a circle two straight lines cut one ...
... equal angles in each , is common to both ; therefore the other sides are equal ( 1. 26. ) ; AF therefore is equal to FB . Wherefore if a straight line , & c . Q. E. D. PROP . IV . THEOR . If in a circle two straight lines cut one ...
Side 73
... equal to FB : Also because F is the centre of the circle CDE , CF is equal to FE . And CF was shown equal to FB ; therefore FE is equal to FB , the less to the C T B E *压 greater , which is impossible ; wherefore F is not BOOK III ...
... equal to FB : Also because F is the centre of the circle CDE , CF is equal to FE . And CF was shown equal to FB ; therefore FE is equal to FB , the less to the C T B E *压 greater , which is impossible ; wherefore F is not BOOK III ...
Side 74
... equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : Let the centre be E ; of all the straight lines FB , FC , FG , & c ...
... equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : Let the centre be E ; of all the straight lines FB , FC , FG , & c ...
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The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle